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One of the challenges of cloud computing is to optimally and efficiently assign virtual ma- chines to physical machines. The aim of telecommunication operators is to minimize the map- ping cost while respecting constraints regarding…

最优化与控制 · 数学 2018-06-26 Guanglei Wang , Walid Ben-Ameur , Adam Ouorou

Recent approaches to distributed model fitting rely heavily on consensus ADMM, where each node solves small sub-problems using only local data. We propose iterative methods that solve {\em global} sub-problems over an entire distributed…

分布式、并行与集群计算 · 计算机科学 2015-04-10 Tom Goldstein , Gavin Taylor , Kawika Barabin , Kent Sayre

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

机器学习 · 计算机科学 2016-05-04 Mariano Tepper , Guillermo Sapiro

We learn optimal instance-specific heuristics for the global minimization of nonconvex quadratically-constrained quadratic programs (QCQPs). Specifically, we consider partitioning-based convex mixed-integer programming relaxations for…

最优化与控制 · 数学 2025-08-26 Rohit Kannan , Harsha Nagarajan , Deepjyoti Deka

The main goal of distribution network (DN) expansion planning is essentially to achieve minimal investment constrained with specified reliability requirements. The reliability-constrained distribution network planning (RcDNP) problem can be…

系统与控制 · 电气工程与系统科学 2023-03-10 Yaqi Sun , Wenchuan Wu , Yi Lin , Hai Huang , Hao Chen

Bundle methods have been intensively studied for solving both convex and nonconvex optimization problems. In most of the bundle methods developed thus far, at least one quadratic programming (QP) subproblem needs to be solved in each…

最优化与控制 · 数学 2015-07-08 Shuai Liu , Andrew Eberhard , Yousong Luo

We propose a new method for low-rank approximation of Moore-Penrose pseudoinverses (MPPs) of large-scale matrices using tensor networks. The computed pseudoinverses can be useful for solving or preconditioning of large-scale overdetermined…

数值分析 · 数学 2016-07-06 Namgil Lee , Andrzej Cichocki

Binary quadratic programming problems have attracted much attention in the last few decades due to their potential applications. This type of problems are NP-hard in general, and still considered a challenge in the design of efficient…

数据结构与算法 · 计算机科学 2014-11-20 Khaled Elbassioni , Trung Thanh Nguyen

In many applications including integer-forcing linear multiple-input and multiple-output (MIMO) receiver design, one needs to solve a successive minima problem (SMP) on an $n$-dimensional lattice to get an optimal integer coefficient matrix…

信息论 · 计算机科学 2018-11-06 Jinming Wen , Lanping Li , Xiaohu Tang , Wai Ho Mow

This paper addresses the problem of low-rank distance matrix completion. This problem amounts to recover the missing entries of a distance matrix when the dimension of the data embedding space is possibly unknown but small compared to the…

最优化与控制 · 数学 2013-04-26 B. Mishra , G. Meyer , R. Sepulchre

The computationally-efficient solution of fully non-linear microwave inverse scattering problems (ISPs) is addressed. An innovative System-by-Design (SbD) based method is proposed to enable, for the first time to the best of the authors…

系统与控制 · 电气工程与系统科学 2022-09-21 Marco Salucci , Lorenzo Poli , Paolo Rocca , Andrea Massa

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

We analyze the bit complexity of efficient algorithms for fundamental optimization problems, such as linear regression, $p$-norm regression, and linear programming (LP). State-of-the-art algorithms are iterative, and in terms of the number…

数据结构与算法 · 计算机科学 2023-04-06 Mehrdad Ghadiri , Richard Peng , Santosh S. Vempala

We consider a class of resource allocation problems given a set of unconditional constraints whose objective function satisfies Bellman's optimality principle. Such problems are ubiquitous in wireless communication, signal processing, and…

信号处理 · 电气工程与系统科学 2021-12-08 I. Zakir Ahmed , Hamid Sadjadpour , Shahram Yousefi

Microarrays are research tools used in gene discovery as well as disease and cancer diagnostics. Two prominent but challenging problems related to microarrays are the Border Minimization Problem (BMP) and the Border Minimization Problem…

数据结构与算法 · 计算机科学 2015-03-30 Robert Ganian , Martin Kronegger , Andreas Pfandler , Alexandru Popa

In this paper, we propose two exact distributed algorithms to solve mixed integer linear programming (MILP) problems with multiple agents where data privacy is important for the agents. A key challenge is that, because of the non-convex…

最优化与控制 · 数学 2022-05-03 Mohammad Javad Feizollahi

We propose a framework of genetic algorithms which use multi-level hierarchies to solve an optimization problem by searching over the space of simpler objective functions. We solve a variant of Travelling Salesman Problem called…

神经与进化计算 · 计算机科学 2019-08-06 Harshavardhan Kamarthi , Kousik Krishnan

We consider the NP-hard problem of minimizing a convex quadratic function over the integer lattice ${\bf Z}^n$. We present a simple semidefinite programming (SDP) relaxation for obtaining a nontrivial lower bound on the optimal value of the…

最优化与控制 · 数学 2017-03-16 Jaehyun Park , Stephen Boyd

Buffer zones are essential in production systems to decouple sequential processes. In dense floor storage environments, such as space-constrained brownfield facilities, manual operation is increasingly challenged by severe labor shortages…

机器人学 · 计算机科学 2026-03-31 Max Disselnmeyer , Thomas Bömer , Laura Dörr , Bastian Amberg , Anne Meyer

This paper introduces a new global optimization algorithm for solving the generalized linear multiplicative problem (GLMP). The algorithm starts by introducing $\bar{p}$ new variables and applying a logarithmic transformation to convert the…

最优化与控制 · 数学 2024-01-03 Bo Zhang